ON RICKART MODULES

Authors

  • Mohammed Qader Rahman Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Bahar Hamad Al-Bahrani Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.11.18

Keywords:

Endomorphism ring, Direct summand, Kernel of endomorphism, Rickart modules and modules with the summand intersection property

Abstract

Gangyong Lee, S.Tariq Rizvi, and Cosmin S.Roman studied Rickart modules.

The main purpose of this paper is to develop the properties of Rickart modules .

We prove that each injective and prime module is a Rickart module. And we give characterizations of some kind of rings in term of Rickart modules.

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Published

2019-11-27

Issue

Section

Mathematics

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